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5020401043434 = 23743113103923677
BaseRepresentation
bin100100100001110011100…
…1110001000011111101010
3122202221112101021111211110
41021003213032020133222
51124223240131342214
614402201305411150
71025466134524650
oct111034716103752
918687471244743
105020401043434
11166615a564437
12690ba2199ab6
132a55638873ba
14134dbb024dd0
158a8d37aa159
hex490e73887ea

5020401043434 has 128 divisors (see below), whose sum is σ = 11857881784320. Its totient is φ = 1387248436224.

The previous prime is 5020401043433. The next prime is 5020401043457. The reversal of 5020401043434 is 4343401040205.

It is not an unprimeable number, because it can be changed into a prime (5020401043433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212025204 + ... + 212048880.

It is an arithmetic number, because the mean of its divisors is an integer number (92639701440).

Almost surely, 25020401043434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020401043434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928940892160).

5020401043434 is an abundant number, since it is smaller than the sum of its proper divisors (6837480740886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5020401043434 is a wasteful number, since it uses less digits than its factorization.

5020401043434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24884.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 5020401043434 its reverse (4343401040205), we get a palindrome (9363802083639).

The spelling of 5020401043434 in words is "five trillion, twenty billion, four hundred one million, forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 113 129 226 258 301 339 602 678 791 903 1039 1582 1806 2078 2373 3117 4746 4859 6234 7273 9718 14546 14577 21819 23677 29154 34013 43638 44677 47354 68026 71031 89354 102039 117407 134031 142062 165739 204078 234814 268062 312739 331478 352221 497217 625478 704442 821849 938217 994434 1018111 1643698 1876434 2036222 2465547 2675501 3054333 4931094 5048501 5351002 6108666 7126777 8026503 10097002 14253554 15145503 16053006 18728507 21380331 24600403 30291006 35339507 37457014 42760662 49200806 56185521 70679014 73801209 106018521 112371042 115046543 147602418 172202821 212037042 230093086 344405642 345139629 516608463 690279258 805325801 1033216926 1057817329 1610651602 2115634658 2415977403 2779845539 3173451987 4831954806 5559691078 6346903974 7404721303 8339536617 14809442606 16679073234 19458918773 22214163909 38917837546 44428327818 58376756319 116753512638 119533358177 239066716354 358600074531 717200149062 836733507239 1673467014478 2510200521717 5020401043434